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首页> 外文期刊>Journal of Computational Physics >ON ABSORBING BOUNDARY CONDITIONS FOR LINEARIZED EULER EQUATIONS BY A PERFECTLY MATCHED LAYER
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ON ABSORBING BOUNDARY CONDITIONS FOR LINEARIZED EULER EQUATIONS BY A PERFECTLY MATCHED LAYER

机译：完全匹配层吸收线性化EULER方程的边界条件

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摘要

Recently, Berenger introduced a perfectly matched layer (PML) technique for absorbing electromagnetic waves. In the present paper, a perfectly matched layer is proposed for absorbing out-going two-dimensional waves in a uniform mean flow, governed by linearized Euler equations. It is well known that the linearized Euler equations support acoustic waves, which travel with the speed of sound relative to the mean flow, and vorticity and entropy waves, which travel with the mean flow. The PML equations to be used at a region adjacent to the artificial boundary for absorbing these linear waves are defined. Plane wave solutions to the PML equations are developed and wave propagation and absorption properties are given. It is shown that the theoretical reflection coefficients at an interface between the Euler and PML domains are zero, independent of the angle of incidence and frequency of the waves. As such, the present study points out a possible alternative approach for absorbing outgoing waves of the Euler equations with little or no reflection. In actual computations, nonetheless, numerical reflection will still occur due to discretization and mesh truncation, depending on the thickness of the PML domains and absorption coefficients used. Numerical examples that demonstrate the validity of the proposed PML equations are presented. (C) 1996 Academic Press, Inc. [References: 18]
机译：最近，Berenger推出了用于吸收电磁波的完美匹配层（PML）技术。在本文中，提出了一个完美匹配的层，用于以线性均值Euler方程控制均匀均流中的输出二维波。众所周知，线性化的Euler方程支持声波和声波和熵波，声波以相对于平均流速的声速传播，涡旋和熵波以平均流速传播。定义了在与人工边界相邻的区域处用于吸收这些线性波的PML方程。开发了针对PML方程的平面波解，并给出了波的传播和吸收特性。结果表明，与波的入射角和频率无关，在欧拉和PML域之间的界面处的理论反射系数为零。因此，本研究指出了一种可能的替代方法，可以吸收很少或没有反射的欧拉方程的输出波。但是，在实际计算中，由于离散化和网格截断，仍然会发生数值反射，具体取决于PML域的厚度和所使用的吸收系数。数值示例证明了所提出的PML方程的有效性。 （C）1996 Academic Press，Inc. [参考：18]

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